For those in the know, they've been long able to get a froyo fix in the form of Juniper on Thayer Street (who recently launched a new website). But if you absolutely must have genuine Pinkberry, I have good news. According to the Pinkberry website, a location will be "swirling" (cute) soon in Garden City in Cranston. No information has been given on the opening date, but I'd assume that they're hoping to open for the summer season, which means soon.
For those interested, the major difference between Pinkberry and Juniper is the yogurt. Juniper tastes more like yogurt. That's not a good or a bad thing, it simply isn't as icy and tart as Pinkberry. I like them both a great deal. And after having Juniper for a couple of years, now, and having tried Pinkberry again, I actually like Juniper more. But I'm splitting hairs at that point.
UPDATE: I found the location. It's across from Anthropologie and directly next to Sunglass Hut.
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UPDATE 2: The opening date has been set at July 9th, so make sure to mark your calendars!